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arXiv:math/0210171 [math.AG]AbstractReferencesReviewsResources

Local cohomology and D-affinity in positive characteristic

Masaki Kashiwara, Niels Lauritzen

Published 2002-10-11Version 1

Comparing vanishing of local cohomology in zero and positive characteristic, we give an example of a D-module on a Grassmann variety in positive characteristic with non-vanishing first cohomology group. This is a counterexample to D-affinity and the Beilinson-Bernstein equivalence for flag manifolds in positive characteristic.

Journal: C. R. Acad. Sci. Paris 335 (2002), 993-996.
Categories: math.AG, math.AC, math.RT
Subjects: 32C38, 14B15
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